{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Principal Component Analysis (PCA)\n",
    "\n",
    "sklearn.decomposition.PCA\n",
    "\n",
    "目标：将高维数据掠影到低维空间中\n",
    "寻找一个d*k变换矩阵\n",
    "约束条件：寻找在最小均方差意义下最能够代表原始数据的投影方法。\n",
    "\n",
    "Principal component analysis (PCA)\n",
    "Linear dimensionality reduction using Singular Value Decomposition of the data to project it to a lower dimensional space.\n",
    "It uses the LAPACK implementation of the full SVD or a randomized truncated SVD by the method of Halko et al. 2009, depending on the shape of the input data and the number of components to extract.\n",
    "It can also use the scipy.sparse.linalg ARPACK implementation of the truncated SVD.\n",
    "Notice that this class does not support sparse input. See TruncatedSVD for an alternative with sparse data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "方差的比重： [0.99244289 0.00755711]\n",
      "特征值： [6.30061232 0.54980396]\n",
      "\n",
      " 特征向量： [[-0.83849224 -0.54491354]\n",
      " [ 0.54491354 -0.83849224]]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from sklearn.decomposition import PCA\n",
    "\n",
    "X = np.array([[-1, -1], [-2, -1], [-3, -2], [1, 1], [2, 1], [3, 2]])\n",
    "pca = PCA(n_components=2)\n",
    "pca.fit(X)\n",
    "\n",
    "#Percentage of variance explained by each of the selected components.\n",
    "print(\"方差的比重：\", pca.explained_variance_ratio_)\n",
    "#The singular values corresponding to each of the selected components.\n",
    "print(\"特征值：\", pca.singular_values_)\n",
    "\n",
    "#Principal axes in feature space, representing the directions of maximum variance in the data. \n",
    "print(\"\\n 特征向量：\",pca.components_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "new_X = pca.fit_transform(X)\n",
    "\n",
    "plt.figure(figsize=(12,6),dpi=60)\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.axis([-4,4,-3,3]) \n",
    "plt.scatter(X[:,0], X[:,1],s=50,c='r',marker='o',alpha=0.5)\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.axis([-4,4,-3,3]) \n",
    "plt.scatter(new_X[:,0], new_X[:,1],s=50,c='b',marker='o',alpha=0.5)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1.38340578  2.22189802  3.6053038  -1.38340578 -2.22189802 -3.6053038 ]\n",
      "[[ 1.38340578  2.22189802  3.6053038  -1.38340578 -2.22189802 -3.6053038 ]]\n",
      "(1, 2)\n",
      "[[-0.83849224 -0.54491354]]\n",
      "(6, 2)\n",
      "[[-1 -2 -3  1  2  3]\n",
      " [-1 -1 -2  1  1  2]]\n",
      "[[ 1.38340578  2.22189802  3.6053038  -1.38340578 -2.22189802 -3.6053038 ]]\n"
     ]
    }
   ],
   "source": [
    "pca = PCA(n_components=1)\n",
    "new_X2 = pca.fit_transform(X)\n",
    "\n",
    "print(new_X[:,0])\n",
    "print(new_X2.T)\n",
    "\n",
    "f_vector = np.reshape(pca.components_[0], (1,2))\n",
    "print(np.shape(f_vector))\n",
    "print(f_vector)\n",
    "print(np.shape(X))\n",
    "print(X.T)\n",
    "\n",
    "X3 = np.mat(f_vector) * np.mat(X.T)\n",
    "print(X3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 手写数字的主成分分析\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "shape of data: (1797, 64)\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "from sklearn import datasets\n",
    "# Standard scientific Python imports\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# The digits dataset\n",
    "digits = datasets.load_digits()\n",
    "\n",
    "n_samples = len(digits.images)\n",
    "data = digits.images.reshape((n_samples, -1))\n",
    "\n",
    "print(\"shape of data: {0}\".format(data.shape))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "方差的比重： [0.14890594 0.13618771]\n",
      "特征值： [567.0065665  542.25185421]\n",
      "\n",
      " 特征向量： [[ 5.58267321e-19 -1.73094651e-02 -2.23428835e-01 -1.35913312e-01\n",
      "  -3.30323192e-02 -9.66340702e-02 -8.32942379e-03  2.26900269e-03\n",
      "  -3.20516577e-04 -1.19308909e-01 -2.44451674e-01  1.48512746e-01\n",
      "  -4.67319526e-02 -2.17740749e-01 -1.48136673e-02  4.47779571e-03\n",
      "  -4.94136848e-05 -7.95419429e-02  8.33951598e-02  2.15915351e-01\n",
      "  -1.72126795e-01 -1.63712108e-01  2.86444412e-02  4.23251741e-03\n",
      "   9.85488397e-05  6.42319093e-02  2.54093313e-01 -3.56771042e-02\n",
      "  -2.09462553e-01 -4.31311459e-02  5.13118561e-02  2.13422711e-04\n",
      "  -0.00000000e+00  1.59950883e-01  3.68690757e-01  1.64406804e-01\n",
      "   8.52007934e-02  3.72983020e-02  2.15866963e-02 -0.00000000e+00\n",
      "   1.28865599e-03  1.06945297e-01  3.03067470e-01  2.47813052e-01\n",
      "   2.09637293e-01  1.22325334e-02 -3.69458482e-02  1.61485022e-03\n",
      "   6.93023673e-04 -8.35143656e-03 -5.58598806e-02  9.30534255e-02\n",
      "   1.07387711e-01 -1.37734572e-01 -6.32879467e-02  9.61669910e-04\n",
      "   9.55080509e-06 -1.40786832e-02 -2.35675485e-01 -1.41225596e-01\n",
      "  -9.15965958e-03 -8.94184717e-02 -3.65977131e-02 -1.14684981e-02]\n",
      " [ 3.42921561e-17 -1.01064675e-02 -4.90849759e-02 -9.43335795e-03\n",
      "  -5.36015421e-02 -1.17755299e-01 -6.21281691e-02 -7.93574435e-03\n",
      "  -1.63216502e-04 -2.10167483e-02  6.03485609e-02 -5.33767629e-03\n",
      "  -9.19769838e-02 -5.19210539e-02 -5.89354658e-02 -3.33283534e-03\n",
      "  -4.22872666e-05  3.62458110e-02  1.98257369e-01 -4.86386262e-02\n",
      "  -2.25574883e-01 -4.50545393e-03  2.67696393e-02 -2.08738492e-04\n",
      "  -5.66233953e-05  7.71234977e-02  1.88447074e-01 -1.37952514e-01\n",
      "  -2.61042707e-01  4.98349924e-02  6.51113191e-02  4.03199340e-05\n",
      "  -0.00000000e+00  8.81559950e-02  8.71736859e-02 -2.70860277e-01\n",
      "  -2.85291791e-01  1.66461615e-01  1.27860549e-01 -0.00000000e+00\n",
      "   2.89440448e-04  5.08305189e-02  1.30274506e-01 -2.68906480e-01\n",
      "  -3.01575557e-01  2.40259080e-01  2.17555578e-01  1.32726105e-03\n",
      "   2.86743230e-04  1.05548386e-02  1.53370725e-01 -1.19535156e-01\n",
      "  -9.72508386e-02  2.85869472e-01  1.48776425e-01  5.42286120e-04\n",
      "  -3.34027769e-05 -1.00791254e-02 -7.02724608e-02  1.71108544e-02\n",
      "   1.94296404e-01  1.76697061e-01  1.94546636e-02 -6.69695059e-03]]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "(2, 64)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "\n",
    "pca = PCA(n_components=2)\n",
    "X = pca.fit_transform(data)\n",
    "\n",
    "#Percentage of variance explained by each of the selected components.\n",
    "print(\"方差的比重：\", pca.explained_variance_ratio_)\n",
    "#The singular values corresponding to each of the selected components.\n",
    "print(\"特征值：\", pca.singular_values_)\n",
    "\n",
    "#Principal axes in feature space, representing the directions of maximum variance in the data. \n",
    "print(\"\\n 特征向量：\",pca.components_)\n",
    "\n",
    "pca.components_.shape\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 480x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "prop_cycle = plt.rcParams['axes.prop_cycle']\n",
    "colors = prop_cycle.by_key()['color']\n",
    "\n",
    "plt.figure(figsize=(8,8),dpi=60)\n",
    "\n",
    "y = digits.target\n",
    "\n",
    "for i in range(10):\n",
    "    plt.scatter(X[y == i,0], X[y == i,1],s=50,c=colors[i] ,m\n",
    "                arker='o',alpha=0.5, label = i)\n",
    "   \n",
    "plt.legend(loc = 'upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.14890594 0.28509365 0.40303959 0.48713938 0.54496353 0.59413263\n",
      " 0.6372925  0.67390623 0.70743871 0.73822677 0.76195018 0.78467714\n",
      " 0.80289578 0.82063433 0.83530534 0.84940249 0.86258838 0.87506976\n",
      " 0.88524694 0.89430312 0.9031985  0.91116973 0.91884467 0.9260737\n",
      " 0.93303259 0.9389934  0.94474955 0.94990113 0.95479652 0.9590854\n",
      " 0.96282146 0.96635421 0.96972105 0.97300135 0.97608455 0.97902234\n",
      " 0.98158823 0.98386565 0.98608843 0.98820273 0.99010182 0.99168835\n",
      " 0.99319995 0.99460574 0.99577196 0.99684689 0.99781094 0.99858557\n",
      " 0.99914278 0.99954711 0.99975703 0.99983951 0.99989203 0.99994255\n",
      " 0.99997555 0.99998798 0.99999503 0.99999804 0.99999911 0.99999966\n",
      " 1.         1.         1.         1.        ]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x270202c4ac8>]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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CTgJuTik9UM8PpCbzu9/lS6Kvvpo/778/XHBBvlwqSZJWU/PrsYADgUuB7wC/I8/tdmhK6bKqfQaW2t+ueaWUfko+YzcC+CX5LN5HgW8DH6ujHjWTlOCcc+Af/qES3L75Tbj6aoObJEmdqPlp05TSIvLbEDp8I0JK6SjyWxParr+a/HottaIlS+DYY+GSS/LnoUPhv/4r3+MmSZI65Qyn6lvz58OBB+Y3IwBsthlce61vSZAkqYvquWwqdc/06bDzzpXgtuuueZ3BTZKkLjO8qW9MmwYf/GDlFVef/Szcckt+slSSJHWZ4U29KyU46yz4xCfyvW4DB8J558F//icMHlx0dZIkNR3veVPvWboUjjsOLrwwfx45Mp+B+8hHiq1LkqQmZnhT73j5ZTj44HxpFGD8ePjtb2HSpGLrkiSpyRne1PMefzzP3zZ7dv6888757QkbbVRsXZIk9QPe86aedccd+VVX5eB20EFw220GN0mSeojhTT3nV7+CPfeEF1/Mn085Jb+fdJ11iq1LkqR+xMum6hm/+hUcemjuDxoEU6bAMccUW5MkSf2Q4U31u/lmOOKI3B8xIr+fdK+9iq1JkqR+yvCm+tx7LxxwACxbludtu/Za2GOPoquSJKnf8p431e6xx2CffWDRIoiASy81uEmS1MsMb6rNggWw9955CfCTn+S3KEiSpF5leFP3vf467LsvzJmTP592GnzhC8XWJElSizC8qXuWLs1vTrjnnvz505+G732v2JokSWohhjd13cqV8JnPwO9/nz//wz/AL36R73eTJEl9wvCmrjvlFLjsstyfPBmmTs1zukmSpD5jeFPXnH8+nHNO7r/znfkl88OGFVuTJEktyPCmNbvllsoDCRttBDfeCGPGFFuTJEktyvCmzs2Zkx9QWLEChgzJk/COH190VZIktSzDmzr26quw337w8sv58wUXwC67FFuTJEktzvCm9q1YkV80/9BD+fNpp8GnPlVsTZIkyfCmDpx6KtxwQ+7vtx+ccUax9UiSJMDwpvZcfDH86Ee5P2kS/Pd/wwD/qEiS1Aj8jaxV/elPcOyxuT9mDFx3HYwYUWxNkiTpbwxvqnjqKTjwwPwKrEGD4KqrYPPNi65KkiRVMbwpe+ONfG/bggX58/nnwwc/WGxNkiRpNYY3QUpw3HHwwAP58xe/CEcfXWxNkiSpXYY3wYUXwqWX5v4ee1RegyVJkhqO4a3VPfAAfP7zub/RRnD55b5sXpKkBmZ4a2WvvQYf/zgsWZKnArniihzgJElSwzK8taqU8n1tjz6aP3/3u7D77oWWJEmS1szw1qqmTIFp03J/773zGxUkSVLDM7y1ounT4ctfzv1NN80PK/gGBUmSmoK/sVvNyy/DJz4By5blBxOmTs1vUpAkSU3B8NZKUoKjjoInnsifv/99eN/7iqxIkiR1k+Gtlfz4x/ldpQD771+5dCpJkpqG4a1V3HUXfPWrub/55nDRRRBRbE2SJKnbDG+tYOlS+OxnYcUKWGstuPJKWG+9oquSJEk1MLy1gu9/H2bNyv1//VfYaadi65EkSTUzvPV3Dz0EZ5yR+5MmwSmnFFuPJEmqi+GtP1u5Mr9FYenSfH/bBRfA4MFFVyVJkupgeOvPzj8f7rgj9088EXbZpdh6JElS3Qxv/dW8eZVXXk2YULl0KkmSmlrN4S0ihkfEuRExPyKWRMT9EXFIN47fPyJuj4jXIuKNiHgwIj5Xaz2qkhIcdxwsWpQ///znMGxYsTVJkqQeMaiOY68GdgZOBR4BDgOuiIgBKaXLOzswIk4Fvgf8B3AWsAzYCvCGrJ4wdSr87//m/hFHwEc+Umw9kiSpx9QU3iJiX+DDwGEppStKq2+NiPHADyNiakppRQfH7kgObqellH5QtekPtdSiNl56Cb74xdzfYIP8VgVJktRv1HrZ9ABgETCtzfqLgE2AyZ0c+3ngLeCnNX5vdeYrX4EXXsj9886D0aOLrUeSJPWoWsPbJOChlNLyNutnVG3vyAeBh4CDIuLhiFgREU9HxNkRscbLphExNiK2qW7AxJp+iv7mxhvhkkty/6MfhU9+sth6JElSj6v1nrfRwOPtrF9Ytb0j44ANgPOAbwJ/BT5EvnduM+BTa/jexwOnd6fYlrBoERx7bO6PGAFTpvjuUkmS+qF6HlhINW4bAIwADk0p/aq07taIGAZ8KSJOTynN6eT4Kax+uXYicO2aCu7XzjwTnnwy988+GzbbrNh6JElSr6g1vL1E+2fX1i8tF7azrfrYjYAb26y/AfgSsAPQYXhLKS0AFlSvi1Y/w/TEE5UHE3bZBf75nwstR5Ik9Z5a73mbCWwdEW3D37al5axOjp3RwfpyAltZY02t67TT4K23cv/cc2GAcy9LktRf1fpb/hpgOHBQm/VHAvOBOzs59qrScp826/clB7fpNdbUmv78Z/hV6erzJz8J731vsfVIkqReVdNl05TSDRFxE3B+RIwkX+Y8FNgbOLw8x1tEXEAOdBNTSqUbsrgIOBaYEhFjyA8s7AWcAEyp2k9rklKeGgRgyJB8r5skSerX6nlg4UDyZLvfId/rNptVH0IAGFhqf7spLaW0LCI+DJwJfK107Fzy06bOKNsdU6fCX/6S+1/+cn6HqSRJ6tcipc4eDG0OpbneZs2aNYttttmm6HL6xptvwlZbwVNPwdix8OijMHJk0VVJkqQ1ePDBB5k0aRLApJTSg9093jvbm9W55+bgBvDd7xrcJElqEYa3ZvT883leN4BJk+Aznym2HkmS1GcMb83om9/Mb1QAOOccGFTPrYuSJKmZGN6azYwZcMEFub/vvvCRjxRbjyRJ6lOGt2aSEpx0EqxcCQMHwo9+VHRFkiSpjxnemsn118PNN+f+P/8zbL11sfVIkqQ+Z3hrFsuWwckn5/6668LppxdbjyRJKoThrVlccAHMnp373/gGbLBBsfVIkqRCGN6awbJllVdfTZgAX/hCoeVIkqTiGN6awWWXwZOlV76eemp+j6kkSWpJhrdGt2JF5azbxhvDUUcVWo4kSSqW4a3RXX01PPxw7p98smfdJElqcYa3RpYSfO97uT96NBx7bLH1SJKkwhneGtn118MDD+T+l74Ew4YVW48kSSqc4a1RVZ91GzkSPv/5YuuRJEkNwfDWqG6/Hf7859w/4QQYNarYeiRJUkMwvDWq8lm3oUPzJVNJkiQMb43prrsq7zA95hgYO7bYeiRJUsMwvDWi8lm3tdaCf/mXYmuRJEkNxfDWaGbOhOuuy/0jj4RNNy22HkmS1FAMb43mrLPycsAA+OpXi61FkiQ1HMNbI5kzB6ZOzf1DDoEttii2HkmS1HAMb43k7LNh5crcP+20YmuRJEkNyfDWKObNg0suyf3994dJk4qtR5IkNSTDW6P42c9g2bLc//rXi61FkiQ1LMNbI0gJrrwy99/3Pth552LrkSRJDcvw1gjuvRfmzs39T3yi2FokSVJDM7w1gl//utI/6KDi6pAkSQ3P8Fa0lGDatNx/73udlFeSJHXK8Fa0Bx6Axx7L/YMPLrYWSZLU8AxvRSufdQMvmUqSpDUyvBWp+pLpLrvA+PHF1iNJkhqe4a1Is2bBo4/mvpdMJUlSFxjeilR9ydTwJkmSusDwVqTyFCE77gibb15sLZIkqSkY3ory4IPw0EO571k3SZLURYa3olRPzGt4kyRJXWR4K0r5frfttoMttii2FkmS1DQMb0V46KF82RTg4x8vthZJktRUDG9FuOqqSt9LppIkqRsMb0UoXzLddlt4xzuKrUWSJDUVw1tfe+QRmDEj971kKkmSusnw1td8ylSSJNXB8NbXyuFtm21g662LrUWSJDUdw1tfeuwxuO++3PesmyRJqkHN4S0ihkfEuRExPyKWRMT9EXFIDV/njIhIETGr1lqahpdMJUlSnQbVcezVwM7AqcAjwGHAFRExIKV0eVe+QERsB5wMPF9HHc2j/JTpVlvly6aSJEndVFN4i4h9gQ8Dh6WUriitvjUixgM/jIipKaUVa/gag4CLgJ8D7wbG1FJL05g7F+65J/cPPhgiiq1HkiQ1pVovmx4ALAKmtVl/EbAJMLkLX+NUYH3g6zXW0FyqJ+Z1ihBJklSjWi+bTgIeSiktb7N+RtX2Ozo6OCL+DvgGcGBKaVF04yxURIwFNmizemKXv0BRbropL9/+9jw5ryRJUg1qDW+jgcfbWb+wanu7ImIAcCFwdUrp+hq+9/HA6TUcV5zly+GOUpbdfXcvmUqSpJrV88BCqnHbV4Atgf1q/L5TWP1y7UTg2hq/Xu+bMQMWLcr997+/2FokSVJTqzW8vUT7Z9fWLy0XtrONiHgb8B3y/W5LI2JUVR0DSp/fSim92dE3TiktABa0+brdq76v/b//V+l/4APF1SFJkpperQ8szAS2Lj0xWq18M1dHc7a9HRgK/AR4uartCmxd6p9VY02NqxzeNtwQJjb+7XmSJKlx1Xrm7RrgGOAgYGrV+iOB+cCdHRx3P7BHO+vPBdYFPg08XWNNjSmlSnh7//u9302SJNWlpvCWUrohIm4Czo+IkcAc4FBgb+Dw8hxvEXEBOdBNTCk9mVJ6Bbit7deLiFeAQSml1bY1vblz4dlnc9/73SRJUp3qeWDhQOB75HvY1gdmA4emlH5Vtc/AUmvd001//GOlb3iTJEl1qjm8pZQWASeWWkf7HAUc1YWvtXutdTS88iXTYcNgu+2KrUWSJDW9ml9Mry4qh7f3vhcG1XOiU5IkyfDWu154AWbPzn0vmUqSpB5geOtNf/pTpW94kyRJPcDw1pvKl0wHDoTJk4utRZIk9QuGt95UDm877ADDhxdbiyRJ6hcMb71l8WK4557c95KpJEnqIYa33nLXXbB8ee4b3iRJUg8xvPWW6sl5d921uDokSVK/YnjrLeX73bbcMr+QXpIkqQcY3nrD8uVwxx25/4EPFFuLJEnqVwxvvWHmTFi0KPe9302SJPUgw1tvKF8yBcObJEnqUYa33lB+WGHsWNhii2JrkSRJ/YrhraelVDnz9oEPQESx9UiSpH7F8NbT5s6FZ5/NfS+ZSpKkHmZ462ne7yZJknqR4a2nlcPbsGGw3XbF1iJJkvodw1tPKz+s8J73wKBBxdYiSZL6HcNbT3rhBZg9O/ednFeSJPUCw1tPKr9VAbzfTZIk9QrDW08q3+82cCBMnlxsLZIkqV8yvPWk8v1u228Pw4cXW4skSeqXDG89ZfFiuOee3PeSqSRJ6iWGt55y112wfHnu+7CCJEnqJYa3nlI9Oe+uuxZXhyRJ6tcMbz2l/KTpFlvAhhsWW4skSeq3DG89ISW4++7c9ylTSZLUiwxvPWHevDxBL8BOOxVbiyRJ6tcMbz2hfNYNDG+SJKlXGd56Qjm8DRjgy+glSVKvMrz1hHJ423prJ+eVJEm9yvBWr+qHFXbeudhaJElSv2d4q9fjj8PLL+e+97tJkqReZnirlw8rSJKkPmR4q1c5vA0aBO96V7G1SJKkfs/wVq9yeJs0CYYOLbYWSZLU7xne6rFyJdxzT+57yVSSJPUBw1s9Hn0UXn899w1vkiSpDxje6lH9sILThEiSpD5geKvH9Ol5OXhwvudNkiSplxne6lE+8/bud+cAJ0mS1MsMb7Vavhzuuy/3vd9NkiT1EcNbrWbPhsWLc9/wJkmS+ojhrVa+WUGSJBXA8FarcngbOhT+7u+KrUWSJLWMmsNbRAyPiHMjYn5ELImI+yPikC4cd2BEXBERcyLizYh4IiIui4gta62lEOXwtv32+dVYkiRJfaCe1HE1sDNwKvAIcBhwRUQMSCld3slxXwWeA74HPA5sBnwNuDci3pNSerCOmvrGsmVw//257yVTSZLUh2oKbxGxL/Bh4LCU0hWl1bdGxHjghxExNaW0ooPD/zGltKDN17sFeAL4MnB0LTX1qVmz4K23ct/wJkmS+lCtl00PABYB09qsvwjYBJjc0YFtg1tp3XzgafJZuMbnwwqSJKkgtV42nQQ8lFJa3mb9jKrtd3T1i0XE24HxwG+6sO9YYIM2qyd29Xv1iHJ4Gz4c3vGOPv3WkiSptdUa3kaT71dra2HV9i6JiEHABeQzef/WhUOOB07v6tfvFeVJlyNwAAAJ0klEQVTwtsMOMHBgoaVIkqTWUs8DC6nGbX8TEUEObh8ADkopzevCYVNY/XLtRODarnzPui1ZAjNn5r4vo5ckSX2s1vD2Eu2fXVu/tFzYzrZVlILbL4HDgSNTSl0KX6V75to+8NCVQ3vGzJn5aVPwfjdJktTnan1gYSawdemSZ7VtS8tZnR1cFdw+DRydUvrvGuvoez6sIEmSClRreLsGGA4c1Gb9kcB84M6ODiwFt/8kB7djU0oX1VhDMcrhbd11YWLfPichSZJU02XTlNINEXETcH5EjATmAIcCewOHl+d4i4gLyIFuYkrpydLh5wGfBS4EZkbEe6q+9Fsppftq+1H6yPTpebnTTtCXl2slSZKo74GFA8lvSfgO+V632cChKaVfVe0zsNSqU84/lpafKbVqTwIT6qipdy1eDA+WXgDhJVNJklSAmsNbSmkRcGKpdbTPUcBRbdZNqPV7Fu7++2Hlytw3vEmSpALU/GL6llT9sILThEiSpAIY3rqjHN7GjIG3va3YWiRJUksyvHVHObz5sIIkSSqI4a2rXn8dZs/Ofe93kyRJBTG8ddW990IqvfXL8CZJkgpieOsq36wgSZIagOGtq8rhbeONYdy4YmuRJEkty/DWVffck5eedZMkSQWq5w0LreXuu+G++2Dw4KIrkSRJLczw1lUjR8JuuxVdhSRJanFeNpUkSWoihjdJkqQmYniTJElqIoY3SZKkJmJ4kyRJaiKGN0mSpCZieJMkSWoihjdJkqQm0l8m6R0MMGfOnKLrkCRJ6lRVXqnptU2RUuq5agoSEfsB1xZdhyRJUjfsn1K6rrsH9Zfwti6wGzAPWFrjl5lIDoD7A4/1UGmtxjGsn2NYH8evfo5hfRy/+rXCGA4GNgNuTym92t2D+8Vl09IP3u3kWi0iyt3HUkoP1l1UC3IM6+cY1sfxq59jWB/Hr34tNIb31XqgDyxIkiQ1EcObJElSEzG8SZIkNRHDW8ULwLdLS9XGMayfY1gfx69+jmF9HL/6OYZr0C+eNpUkSWoVnnmTJElqIoY3SZKkJmJ4kyRJaiKGN0mSpCZieJMkSWoiLR/eImJ4RJwbEfMjYklE3B8RhxRdVyOKiBER8YOI+H1EvBARKSK+1cG+O0TEzRGxKCJeiYirI+LtfVxyQ4mIPSPiwoiYHRFvRMQzEXFtROzYzr6OXzsiYruI+N+IeCoi3oyIhRHx54g4vJ19HcMuiIijS3+XF7WzzTFsIyJ2L41Xe+09bfbdq/Tnc3FEvBgRF0fE2KJqbyQR8f6IuD4iXi79XX40Ir7ZZh/HrwMtH96Aq4EjyXPK7ANMB66IiMMKraoxjQY+BwwBftPRThGxFXAb+cW7nwA+A7wD+GNEbND7ZTas44AJwE+AfYETgbHAXyJiz/JOjl+nRgHzgK+Rx/AI4Ang0oj4Rnknx7BrImIc8CNgfjvbHMPOfQ14b5s2q7wxInYDbgCeJ79g/URgL+APETGkz6ttIKXfr7cDr5L/Du8LfB+Iqn0cv86klFq2kf/AJODQNut/DzwDDCy6xkZq5L9Y5bkBx5TG7lvt7HcleXLFkVXrxgNLge8X/XMUOH5j21k3HHgOuNnxq2ts/wI85Rh2e9z+B7gOuBhY1GabY9j+mO1e+rfv4DXsdxfwIDCoat37SsceV/TPUeD4jQMWAVMcv9pbq595O4D8h2ham/UXAZsAk/u8ogaWSjrbJyIGAR8FrkopvVZ17JPAreQxb0kppQXtrFsE/BXYDBy/OrwILAfHsKtKl5p3A45vZ5tjWIfSGc2dgUtTSsvL61NKdwCP0NrjdzQwjHymrV2O35q1enibBDxU/YejZEbVdnXPRGAolTGsNgPYIiLW7tuSGldErAvsQP4fJjh+XRIRAyJiUERsEBHHA39P5ZeBY7gGpfuGzgVOTSk93c4ujuGa/SwilkfEaxFxY0S8v2pb+XdHR+PXyr9bPggsBLYq3WO+PCIWRMR/RMTI0j6O3xq0engbTf5D1NbCqu3qnvKYdTSuAazXd+U0vJ+R/xf6vdJnx69rpgDLgAXAvwFfTCn9vLTNMVyzKcDDwPkdbHcMO/Yq+b7VY4E9yPdibQbcFhF/X9pnTePXyr9bxgHrkK94TSXfx/ZD8r1v10dE4Pit0aCiC2gAnV0G9MWvtXNc1yAivgt8CvhCSumeNpsdv86dCfyS/MDHPwL/HhHDUko/qtrHMWxHRBxEHrPt13QbBI7halJK9wH3Va36Y0RcA8wEfgDcWL17R1+ml8prBgOAtYFvp5TOLq27LSKWks8Gf6hqX8evA61+5u0l2k/w65eW7aV+de6l0rKjcU3AK31XTmOKiNOBbwBfTyn9e9Umx68LUkpPpZTuTildn1I6DvgFcFbpKUjHsAMRMZx8tvenwPyIGBURo8hPlFL6PAzHsFtSSq8AvwXeFRFDWfP4tfLvlvLY3Nhm/Q2l5Q44fmvU6uFtJrB16ebcatuWlrNQdz0GvEllDKttC8xJKS3p25IaSym4fYv8pO6ZbTY7frW5i3wl4e04hp0ZA2wInAS8XNUOJV++fxm4DMewFuVpLhKV3x0djV8r/25p7z42qIzfShy/NWr18HYNeaqGg9qsP5I879GdfV5Rkys9/PE/wIERMaK8PiLeRr4/5OqiamsEpUkovwWckVL6dtvtjl/N9iD/o/+4Y9ip58hj0LbdCCwp9b/hGHZPRKxHfjr3/pTSkpTSM+T/UBweEQOr9nsP8E5ae/yuKi33abN+39LyL47fmsWab3no3yLi98BOwFeBOeT/gR4DHJ5SuqzI2hpRROxD/h/6COBC8k2nV5Y2X59SWlya3HM6cC9wNvn+hu+QT3dvl1J6oc8LbwARcRJ5QtTfkSeFXkVK6S+l/Ry/DkTEL4DXyP+wP08+k/Rx4JPAD1NKp5T2cwy7ISIuJs9bNrxqnWPYjoi4HHgKuJs8Rc2W5DOZE4F9Uko3l/bbHbiJHIKnkO/PPJv8wMNOKaW3+rz4BhER1wEfAc4gz9G4E3A6eb7LfyztszuOX8eKnmiu6EY+8/YT4FngLeAB4JCi62rURp7NPnXQJlTttyNwM/AG+S/bNcDEousveOxu62TsUpt9Hb/2x/DTwP+RJ49dRr7Mdxv5P1tt93UMuz6uF9Nmkl7HsMOxOpX8wMIr5LkFF5DPBO3czr4fBv5MvgT9EvBftDNZd6s18jQ0Z5ND8DLgSfJDSEMcv661lj/zJkmS1Exa/Z43SZKkpmJ4kyRJaiKGN0mSpCZieJMkSWoihjdJkqQmYniTJElqIoY3SZKkJmJ4kyRJaiKGN0mSpCZieJMkSWoihjdJkqQmYniTJElqIoY3SZKkJvL/Afbeq1wS6LvtAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "import numpy as np\n",
    "\n",
    "pca = PCA(n_components=64)\n",
    "pca.fit(data)\n",
    "y = pca.explained_variance_ratio_\n",
    "\n",
    "result = np.array(y).cumsum()\n",
    "print(result) \n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.figure(figsize=(6,3),dpi=120)\n",
    "plt.plot(range(1,65), result, c='r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn import datasets\n",
    "from sklearn.decomposition import PCA\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x800 with 70 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "digits = datasets.load_digits() # 加载数据\n",
    "n_samples = len(digits.images)\n",
    "data = digits.images.reshape((n_samples, -1))\n",
    "\n",
    "# 把数据所代表的图片显示出来\n",
    "images_and_labels = list(zip(digits.images, digits.target))\n",
    "X = data[:10]\n",
    "\n",
    "plt.figure(figsize=(10, 8), dpi=100)\n",
    "for index, (image, label) in enumerate(images_and_labels[:10]):\n",
    "    plt.subplot(7, 10, index + 1)\n",
    "    plt.axis('off')\n",
    "    plt.imshow(image, cmap=plt.cm.gray_r, interpolation='nearest')\n",
    "    plt.title('Digit: %i' % label, fontsize=10)\n",
    "\n",
    "nc = [32, 21, 13, 9, 6, 2] # 0.96, 0.9, 0.8, 0.7, 0.6, 0.29\n",
    "for k, n in enumerate(nc):\n",
    "    pca = PCA(n_components=n)\n",
    "    pca.fit(data)\n",
    "    x_pca = pca.transform(X)\n",
    "    x_inv = pca.inverse_transform(x_pca)\n",
    "    x_inv = x_inv.reshape((-1, 8, 8))\n",
    "    \n",
    "#     plt.figure(figsize=(8, 1), dpi=100)\n",
    "    for index, image in enumerate(x_inv):\n",
    "        plt.subplot(7, 10, index + 11 + k * 10)\n",
    "        plt.axis('off')\n",
    "        plt.imshow(image, cmap=plt.cm.gray_r, interpolation='nearest')\n",
    "        plt.title('%i' % n, fontsize=10)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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